The description of LHB indicates that its lexical tags (lemmas, including homographs), morphological and root, are based "mostly" on HALOT. SBLGNT is also based on different critical editions of GNT. I've noticed that these tags are the ones Logos uses for its databases such as "Biblical word guide" or the lemmas that appear in the "word lists."
Why are these DBs not public? I think it would be good because of the importance they have, make them public as well as their methodology.
Blessings!